242134016 has 44 divisors (see below), whose sum is σ = 487104120. Its totient is φ = 120299520.

The previous prime is 242133979. The next prime is 242134037. The reversal of 242134016 is 610431242.

It is a junction number, because it is equal to n+sod(n) for n = 242133982 and 242134000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182636 + ... + 183956.

Almost surely, 2^242134016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243552060).

242134016 is an abundant number, since it is smaller than the sum of its proper divisors (244970104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242134016 is a wasteful number, since it uses less digits than its factorization.

242134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 242134016 is about 15560.6560273017. The cubic root of 242134016 is about 623.2829809257.

Adding to 242134016 its reverse (610431242), we get a palindrome (852565258).

The spelling of 242134016 in words is "two hundred forty-two million, one hundred thirty-four thousand, sixteen".